Question

If an angle is 10 degree more than its complement,find the angles

Answer 1

Hey

Here is your answer,

Complimentary angles have a sum of 90.

m∠A+m∠B=90

m∠A=x
m∠B=x+10

10 more than the measure of its complement

x+x+10=90
2x+10=90
2x+10−10=90−10
2x=80
2x/2=80/2
x=40
x+10=50

Hope it helps you!

Answer 2

The complementary angles are 40° and 50°.

Step-by-step explanation:

Let the complement angle = x and (x + 10)

To find, the angles = ?

We know that,

The sum of the complementry angles = 90°

⇒ x + x + 10 =  90°

⇒ 2x = 90° - 10°

⇒ 2x = 80°

⇒ x = 40°

∴ x + 10° = 40° + 10° = 50°

Hence, the complementary angles are 40° and 50°.